2 papers
math.DG2024
An average intersection estimate for families of diffeomorphisms
Axel Kodat, Michael Shub
We show that for any sufficiently rich compact family of diffeomorphisms of a closed Riemannanian manifold , the average geometric intersection number over $…
math.OC2003
On the Curvature of the Central Path of Linear Programming Theory
Jean-Pierre Dedieu, Gregorio Malajovich, Mike Shub
We prove a linear bound on the average total curvature of the central path of linear programming theory in terms on the number of independent variables of the primal problem, and i…